1. An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?
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Answer:
20 ways
Step-by-step explanation:
Using the Combination Formula:
C(n,r) = n! / r!(n-r)!
C(6,3) = 6! / 3!(6-3)!
C(6,3) = 6! / 3!3!
C(6,3) = 6×5×4×3! / 3!3!
C(6,3) = 6×5×4 / 3!
C(6,3) = 6×5×4 / 3×2×1
C(6,3) = 5×4
C(6,3) = 20 ways